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the cutting insert, or tool they are most familiar with,
because they know – from practical experience – that
it performs and wears in a progressive manner, rather
than the unpredictability associated with an insert of
‘uncertain machining capability’ that might otherwise
prematurely fail.
Prior to discussing criteria for determining when
a cutting insert is ‘worn-out’ , it is necessary to estab
-
lish in practice, what this actually means. For example,
does ‘worn-out’ refer to when the: dimensional accu-
racy becomes unpredictable: or if the surface nish has
signicantly deteriorated; or perhaps the fact that its
automatic chip-breaking behaviour has become inef-
cient? In many situations it is by the user’s experience
that one can judge how much ank wear can be toler-
ated on the cutting edge before machining is discon-
tinued. As a rule, ank wear is a dependable criterion
for assessing when the cutting edge is eectively worn-
out. Moreover, from the previous discussion, perhaps
the degree of cratering may in certain machining cir-
cumstances prove to be more signicant than the ank
wear, in respect to the shortening tool life.
Tool wear can be established by several techniques,
but the usual method is to observe and then measure
the actual wear as it progressively develops. e eec-
tive cutting time, or tool life ‘T’ , is specied as time-
elapsed prior to a predetermined degree of wear has
been reached. A typical procedure for determining
ank wear can be: to observe cutting edge(s) in-situ on
the machine tool; then remove from the machine and


visually inspect the tooling; followed by its respective
wear rate can then be optically magnied in suitable
equipment allowing accurate dimensional measure-
ment – against the following criterion (i.e. see Fig.
174):

Extent of ank wear from original edge – if this
wear is of relatively uniform nature, it may be dis-
tributed across three zones, ‘A’ ,‘B’ and ‘C’. e
mean ank wear ‘V
B,C–A
’ is measured over the cut-
ting region of the leading edge across these zones –
it is oen just referred to as simply: ‘V
B
’. If excessive
wear develops at one position on the cutting edge,
for instance where the wear-notch ‘V
N
’ occurs, this
zone is usually ignored when establishing the ‘mean
wear’. Here and under these conditions, it is usual
to quote the maximum ank wear as ‘V
Bmax
’ ,

Extent of cratering – this is usually specied by
the maximum crater depth from the plane of the
original rake face ‘K
T

’ and in some cases, by its di-
mensional size: ‘K
B
’- width and ‘K
M
’ – length (not
shown).
e above wear criteria, are normally utilised for esti-
mating the extent of ank and crater wear. Over many
years of experimental research into tribological wear
mechanisms, it has been established that progressive
ank wear develops according to a xed pattern, with
three distinct stages to this wear regime, they are (Fig.
176):
1. Initial, or primary wear – if a new cutting edge
is used to machine a workpiece, there is a rapid
breakdown of the of the cutting edge. is early
ank wear on the tooling is depicted in the graph
of wear against time in Fig. 176a, indicated by its
preliminary high wear-rate, is wear-rate is de-
pendent upon the cutting conditions and type of
workpiece material, plus any cutting uid applica-
tion – if utilised. Flank wear increases in relation to
an higher cutting speeds,
2. Progressive, or secondary wear – occurs aer the
initial ank wear has taken place. During the fol-
lowing time period, there is a steady and progres-
sive stage to the cutting tool’s/insert’s wear, with a
much less pronounced increase than that indicated
at the initial wear stage, this is when the productive

machining output occurs. Toward the end of this
progressive wear stage, this being the case when the
ank wear ‘V
B
’ reaches approximately 0.8 mm in
height, here, it is normal practice to replace this old
tool with a ‘sister tool’ – to continue machining the
component batch, or production run. Once ank
wear has reached this arbitrary dimensional value,
then to all practical purposes its productive life is
ended,
3. Catastrophic, or tertiary wear – will normally only
become apparent if the tool is taken toward, or up
to, its complete failure. Such catastrophic failure
is the result of a combination of several tool wear
mechanisms: high ank wear; large crater forma-
tion – reaching the point where the tool has been
suciently weakened for the increased tool forces
now operating to cause it to fracture. Inevitably, if
such an immediate breakdown occurs during the
nal pass over the workpiece’s surface, it is prob-
able that the component has to be scrapped. If the
workpiece has a high residual raw-stock value, then
aer machining, signicantly more added-value
will have accrued. So, any initial savings made by
using these tools into the tertiary ank wear stage,
will be more than cancelled-out by scrapping this
component!
Machinability and Surface Integrity 
Tool-life Diagrams

Machinability is a subject that has yet to be fully-de-
ned and analysed, in particular the interactive mech-
anisms that take place at the chip/tool interface, with
the user’s own experience being a good start-point for
any future machining operations. As has been men-
tioned above, tool wear varieties can have several dif-
fering causes and eects (i.e. see Appendix 11). With
any machining batch, or production run, it is custom-
ary practice to establish a ‘norm’ for both the tolerable
ank wear dimension and the depth/size of crater for-
mation. In particular, as the ank wear pattern usu-
ally takes in-cut time to progressively develop and this
predictable tool/wear relationship has been well estab-
lished some years ago, initially by F.W. Taylor’s pio-
Figure 176. Tool wear under steady-state conditions: (a) tool wear as a function of time, (b) if cutting speed
is changed, then tool life is aected, (c) amalgamation of these ‘Taylor curves’ and derivation of the ‘general
taylor curve’. [Courtesy of Sandvik Coromant]
.
 Chapter 
neering work, then further rened over the years. As
can be seen from the graph of ank wear (V
B
) against
time (T)
69
shown in Fig. 176a, tool wear does not usu-
ally follow a straight-line relationship’. Invariably, the
‘V-T curve’ for ank wear initially develops quickly
then settles to a moderate growth over a reasonable
time-period, then has a rapid escalation – almost ex-

ponentially – at an ‘end-point’ as it catastrophically
fails. e actual plotted wear curve prole and its as-
sociated inclination angle will vary depending upon
the cutting speed selected, with individual cutting
speeds having specic wear curves (i.e. see Fig. 176b).
So from the graph in Fig. 176b, it can be visually-es-
tablished that the higher the cutting speed utilised, the
greater the ank wear. e composite graph depicted
in Fig. 176c – le (i.e. taking ‘standardised’ ank wear
@ times: T
1
 to T
5
– from Graph 176b), shows that a
direct relationship exists between logarithmic time
(logT) and cutting speed (logV
C
). e features that
characterise this ‘straight-line’ are its position and gra-
dient, these values can be expressed through the ‘gen-
eral-case’ tool formula
70
developed by Taylor (1907),
as follows:
V T
α
 = C
69 ‘Cutting time’ (T) here, is the tool-life of the cutting edge, be-
fore a specic amount of ank wear ‘V
B

’ is established.
70 is ‘general case’ Taylor formula, has been expanded and
developed which denes the machining characteristics with
more mathematical rigour, including the eects of: feed-
rate; D
OC
; as well as component hardness, as follows: V T
α

f
m 
d
p 
H
q 
= K T
ref 
α

f
ref
m 
d
ref
 p 
H
ref 
q
Where: ‘f’ = feedrate (mm rev
–1

),
‘d’ = D
OC 
(mm), ‘H’ = Hardness (e.g. HR
C
), with ‘m’ , ‘p’ and ‘q’
are exponents whose values are experimentally-established
for the production operation, ‘K’ = a constant analogous to
‘C’ , while ‘T
ref
’ , ‘f
ref
’ , ‘d
ref
’ , and ‘H
ref
’ are the reference values for
feedrate, D
OC
– when they are <1.0*. *is 1.0 numerical value,
indicates the greater eect of cutting speed on tool life, since
the exponent of ‘V’ is 1.0. Moreover, aer cutting speed, the
feedrate is the next in importance, so ‘m’ has a value > ‘p’**.
**e exponent for work hardness ‘q’ is also <1.0.In reality,
there are diculties in the application of the above equation
for practical machining operations, due to the vast amount of
machining data that is necessary to determine the parameters
of this equation – producing considerable statistical variance.
In order to reduce the variability, while making the overall
equation more manageable, the D

OC
and hardness parameters,
reduce the equation to the following expression:
V T
α
f
m 
= K T
ref 
α

f
ref
m 

Where: ‘terms’ are the same, but the parameter ‘K’ will have
a slightly dierent interpretation – see the available literature
for a more rigrous mathematical treatment on the subject of
tool life. (Groover et al., 2002)
e two constants (α, C), can be established graphi-
cally from the graph (Fig. 176c – right) of the ‘plot
-
ted’ sloping straight-line gradient. Hence, the value
of constant ‘α’ , can be obtained graphically from the
trigonometrically relationship of the respective values
of the ‘X’ and ‘Y’ coordinates. Likewise, the other con-
stant ‘C’ , may be found by extrapolating this sloping
line down to the cutting speed axis (logV
C
), for its nu-

merical value.
Tool Costs
e tool cost ‘CT’ will normally consist of the sum of
the purchase cost, grinding costs – where applicable,
as well as tool-changing cost for each machined com-
ponent. In Table 12 (below), it tabulates how tooling-
Table 12. Calculating the cutting-tool cost per cutting edge
Costs for: cutting tool, edges and
regrinding:
Sum of costs:
Initial cost of tool = (A)
Number of cutting edges per tool = (B)
Tool cost per cutting edge = (A/B)
= (C)
Cost of insert = (D)
Number of cutting edges per insert = (E)
Insert cost per cutting edge = (D/E)
= (F)
Machine charges per hour = (G)
Tool changing time (minutes) = (H)
Cost per tool change = (G x H/60)
= (I)
Regrinding charges per hour = (J)
Regrinding time (minutes) = (K)
Regrinding cost = (J x K/60)
= (L)
Tool cost per edge = (C + F + I + L)
= (M)
Number of components per cutting edge = (N)
Tooling cost/component (i.e Cutting tool

cost per edge)
= (M/N)
= (C
T
)
.
Machinability and Surface Integrity 
costs can be calculated, for a simple turning operation:
the method can be modied for machining centres
and for most other machining operations.
As can be seen from Table 12, the cutting s[peed
has a major impact on the value of ‘CT’ , because an
increase in cutting speed normally results in faster
tool wear rates, with the tool charge per component
increasing as a result. Tool costs today, now account
for only a small proportion of the total costs of pro-
duction, owing to the fact that the latest tooling can
operate at higher feeds and speeds than their earlier
counterparts. When the tool costs actually rise – due
to greater wear rates as a result of increased cutting
speeds, it naturally follows that associated tool perfor-
mance will also increase.
For any machining operation there exists an ‘eco-
nomical tool-life’ (T
e
), which can be calculated from
the following formula:
T
e
= (


α
− )(
C
T
C
m
+ t
C
)

Economical tool life
Where:
T
e
= Economical tool life (minutes),
α = Slope of the V-T curve (i.e. measured from
graph),
C
T
= Cutting tool cost per edge (i.e. obtained as de-
scribed above),
C
m
= Machine tool, labour, and related overhead costs
– charged per minute,
t
C
= Tool-changing time per minute for operation in
question*.

*is tool-changing time will vary depending upon
whether the chosen cutters are of the ‘conventional‘, or
‘modular quick-change’ tooling varieties.
In Fig. 177a, the tool-life at ‘maximum production rate’
(T
q
) is shown, which is a variation of the calculation
given above for ‘economical tool life’ (T
e
), where the
variables are identical, but in the former case a higher
cutting speed is employed, resulting in shorter tool-
life. Even though the lowest possible machining cost
per component can be calculated with the most eco-
nomical cutting speed, it is oen desirable to utilise
a faster machining strategy. is increased speed, will
involve supplementary costs, although it can only be
warranted if higher production output results. If the
number of components per hour (P
r
) is plotted (Fig.
177d) in relation to the cutting speed (V
c
), a repre-
sentative curve will result. is curve is redrawn and
shown in Fig. 177e, this now being a ‘composite’ of the
sum of the: machine/labour/overhead costs (Cm); with
tooling cost (CT). e zenith of this curve (Fig. 177e),
represents the highest production rate (P
r

max). While
the cutting speed (V
q
) is associated with the peak of
the curve, which is greater than the most economical
rate (V
e
), with the values between these two points,
representing the ‘high-eciency range’ for a particular
operation.
In Fig. 177e, the additional vertical axis depicted,
represents the production rate (P
r
) – this being the
number of components machined per hour, it can be
calculated in the following manner:
P
r
= 60 (1 – t
C/
T)/tp
Where:
t
C
= Tool-changing time per minute for operation,
T = Tool life,
tp = Total time per component (i.e. including: ma-
chining, handling and down-tome).
e relationships mentioned above represent theoreti-
cal associations. So, some caution should be applied

when using these factors and they need to be treated
as a ‘starting-point’ only for both the values and trends
represented here. Moreover, they are subject to vari-
ability, due to the complex relationships and interac-
tions found during machining operations.
.. Return on the Investment (ROI)
As an alternative approach to the above mentioned
cutting tool costs and production output interactions,
is to relate any productivity improvements to both the
actual machinery cost and the total invested capital
– to achieve this level of manufacturing yield. In the
previously described machinability tests, the work
seldom considers rates of production, or relates the
ndings to actual increases in the total economics of
production.
A signicant scal argument is that any gures
obtained from such testing, should highlight the ‘im-
proved’ ROI, which can be obtained by any manu-
facturing company utilising the latest tooling, in
conjunction with the application of ecient cutting
conditions.
e following simple formula can be utilised to cal-
culate the ROI for a particular: production operation;
machine tool; machining cell; etc.:
 Chapter 
ROI = (T
S
)(M
C
)/(MT

I
)
Where:
T
S 
= Time savings per year (i.e. in hours),
M
C
= Machine tool charge (per hour),
MT
I
= Machine tool investment.
In this section, only a supercial treatment has been
given to the economic argument relating associated
capital equipment costs and their overheads, to out-
put productivity. More intricate and sophisticated eco-
nomic models can be obtained in the literature.
7.8 Cutting Force
Dynamometry
Introduction
During machining operations, plastic deformation,
friction between the tool and workpiece, together with
micro-fractures and -ssures occur. ese mechanical
phenomena produce measurable cutting and forming
forces with very high-frequency acoustic emissions
(AE). e application of AE in association with other
Figure 177. The correlation of typical manufacturing cost factors: machining costs, together with
their resultant productivity. [Courtesy of Sandvik Coromant]
.
Machinability and Surface Integrity 

sensors, such as: force transducers, accelerometers can
be coupled to neural networks to give a psuedo-form
of articial intelligence (AI) – more will said relating to
cutting tool monitoring and analysis in a succeeding
chapter. Many of the early attempts at cutting force
monitoring were by using several strategically-placed
resistance-type of strain-gauged mechanical elements.
ese strain-elements were designed so that at a par-
ticlur portion of their geometry they could either
minutely: buckle, bulge, or twist – well within their
elastic limit. At the positions of greatest sensitivity
on these mechanical elements, strain-gauges were se-
curely placed and wired into a ‘Wheatstone bridge re-
sistance circuit’
71
, which as the gauges distorted they
changed their micro-resistance, which could then be
fed through suitable instrumentation. ese strain-
gauged elements could be calibrated against ‘known’
mechanical devices (e.g. ‘proving-rings’
72
, or similar),
71 ‘Wheatstone bridge resistance circuits’ – invented by Sir
Charles Wheatstone: circa 19
th
Century, for accurately
measuring resistance in an electrical circuit. Simply, a ‘bridge
circuit’ consists of: four resistances; a galvanometer; with a d.c.
power supply. In essence, in these highly sensitive resistance
‘bridges’ they are used to detect minute changes in strain gauge

resistance. A typical ‘full-bridge’ consists of the four resistors:
‘R
1
’; ‘R
2
’; ‘R
3
’; ‘R
4
’; suitably coupled to the galvanometer and
d.c. supply. Typically, the most simple strain-gauged circuit
would consist of: a resistance ‘R
1
’ which here for argument,
is the gauge used for strain measurement. Resistance ‘R
4
’ is
a second strain gauge which here, could remain at constant
resistance. e other ‘half of the bridge’ , resistances ‘R
2
’ and
‘R
3
’ are variable resistors which by adjustment, are utilised to
‘balance’ and ‘rebalance’ the bridge (i.e employed to reduce
the current across the galvanometer arm to zero). erefore,
when the ‘bridge’ is ‘balanced’ , the ratio of the gauges and the
variable resistances are equal, thus:
R
1/

R
4 
= R
2 
/R
3

∴ R
1 
= R
4  
× R
2 
/R
3
(Collet and Hope et al., 1974)
72 ‘Proving-rings’ , are laboratory calibrated and certicated me-
chanical device, normally consisting of: a steel ring; dial gauge
and loading pads. It is usually employed in the calibration of
force-measuring systems – only within its maximum permis-
sible load. Such ‘proving-rings’ can be manufactured for either
high sensitivity – for strain-gauge applications, or for more
robustness – when calibrating tensile testing machines. In
practice, the steel ring if compressed, allows the diameter to
minutely contract in direct proportion to the applied force,
with its deection accurately measured by a dial gauge located
across the centre of the internal portion of the proving-ring’s
diameter. Changes in the dial gauge readings, can be converted
to force measurement by means of a suitable calibration graph,
or more simply, by multiplying the gradient of the graph – as

the graph produced has a straight-line relationship. (Ramsey
et al., 1981)
allowing the resolved cutting forces during subsequent
machining to be data-logged, for suitable in-depth
analysis by the user. Strain gauge dynamometers based
upon the Shaw and Cook (1954) model, normally re-
quire several design criteria to be addressed, if they are
to perform satisfactorily, these factors are:
1. at the dynamometer should have a sensitivity of
1% of its mean designed force,
2. Such a dynamometer requires a natural frequency
of at least 4 times the ‘forcing frequency’ ,
3. e strain-gauged circuit elements should produce
the minimum of cross-coupling (i.e. ‘cross-talk’ is
<2%) – when calibrated.
NB is latter point, can be assessed by a range
of calibrated ‘proving rings’ , or ‘torque arms’ – if
required to measure torque eects in the circuit,
thegraphical calibration should indicate: both plot-
ted linearity and also be coupled to minimal hys-
teresis
73
.
Today, most multi-axes cutting force dynamometers
utilise sensing elements, based upon the piezoelectric
eect
74
and these ‘active sensors’ , will now be more
fully discussed.
Piezoelectric Dynamometers

ese high-rigidity force transducers provide an elec-
trical output signal under the eect of direct element
deformation. Hence, element deformation can be kept
several degrees of magnitude smaller than that of the
‘passive systems’ – such as those utilising strain-gauged
elements. With most ‘dynamic systems’ such as those
employing quatrz-based elements, their inherent de-
gree of rigidity and a broad measuring frequency
range creates smaller measurement interference and
73 ‘Hysteresis loop’ is an area bound between the loading and
unloading paths (i.e. typically found in a stress-strain curve),
indicating energy dissipation, or damping.
74 ‘Piezoelectric eect’ , was discovered by Pierre and Jacques
Curie in 1880. A piezoelectric material (e.g. quartz, or Ro-
chelle salt) is a special kind of insulator which, if compressed
along one of its axis, acquires an electrostatic charge on the
material’s opposite faces. Hence, when such material is ac-
curately and precisely cut to the desired shape, it acts as a
piezoelectric transducer, hence its input is force and its output
is charge. ese piezoelectric elements, can be suitably posi-
tioned and arranged and thus, used in dynamometers for dy-
namic cutting force measurement.
 Chapter 
as a result, oer extremely fast process response, in
comparison to those of the of the ‘non-rigid type’
– having long measurement paths (i.e. found in con-
ventional strain-gauged elements). Unlike ‘passive sys-
tems’ utilising strain-gauges, it is virtually impossible
to perform static measurements by using piezoelectric
transducers, even though an electric charge delivered

under static load can be registered, it cannot be stored
for any realistic time period
75
.
e design of most of today’s multi-component
dynamometers use piezoelectric elements which are
quintessentially comprised of a stack of quartz discs,
or plates with accompanying electrodes being installed
into a stainless steel housing (Fig. 178ai and aii). Every
disk, or plate has been precisely cut in a denite crys-
tal axis, with their sensing orientation coinciding with
that of the axes of the force components to be measured
(Fig. 178). In practice, the electrodes can collect the
‘charge’ on their respective quartz disk’s surfaces, these
being suitably ‘hard-wired’ to their appropriate and
corresponding plug connectors. As shear forces can
only be transferred by frictional contact, a certain
minimum of friction is essential between the quartz
disks, electrodes and housing. Depending upon the
shear force magnitude (i.e. measured) a more-or-less
high pre-loading of the system must be generated by
a pre-loaded bolt. is act of preloading the system is
absolutely essential and is usually undertaken when
the force transducer is initially installed into the dyna-
momoter by the manufacturer.
A typical three-component dynamometer (Fig.
178ai), consists of sensors with two shear quartz pairs
– namely for ‘F
X
’ and ‘F

Y
’ , plus one pressure quartz pair
– for ‘F
Z
’ , assembled in a suitable housing. Each quartz
pair has two identical plates stacked with a common
75 ‘Piezoelectric storage’ – for static loading, this cannot be
achieved because an insulating material would have to have
innitely high resistance, together with ampliers that are
perfectly free from any form of leakage and ‘non-operate cur-
rents’ , with an amplication factor of innity! e dri in
today’s charge ampliers is below ±0.03 pC s
–1
. In static mea-
surements performed with ‘load washers’ , this means that in
practice, the zero-shi is limited to within ±10 mN s
–1
. For
example, if a static load of 10 kN is measured for one min-
ute, then aer this time, the result of the measurement can
only be invalidated by a maximum ±0.6 N, that is by ±0.006%.
Hence, it is a simple task to piezoelectrically measure large
forces for minutes, or hours, but small forces can only be mea-
sured ‘statically’ for very short time-periods. us, piezoelec-
tric transducers are normally referred to as being: ‘quasistatic
measurement elements’.
electrode between them, oering twice the sensitivity.
is three-component dynamometer is constructed
with four of these three-component sensors mounted
in parallel between the base and top plate, being as-

sembled with a high preload. Given that the outputs
from the four sensors are in the form of an electrical
charge, they are able to be interconnected within the
dynamometer body. With this particular sensor ar-
rangement, it is possible to obtain up to eight charge
outputs from the dynamometer.
e four-component dynamometer shown in Fig.
178aii, has several shear quartz plates arranged in a cir-
cle (i.e. top circular element), with their sensitive axes
being tangential, allowing an element to be formed
responding to a moment ‘M
Z
’. In this dynamometer,
the four-component sensor is obtained by assembling
this element (i.e. ‘M
Z
’) in a housing, together with two
shear quartz pairs – for ‘F
X
’ and ‘F
Y
’ , plus one pressure
quartz element pair for ‘F
Z
’. So, by mounting this sen-
sor assembly under a high preload between the base
and the top plate, it results in a four-component dy-
namometer, capable of simultaneous measurement of:
‘F
X

’ , ‘F
Y
’ , ‘F
Z
’ and ‘M
Z
’.
For both accurate and precise machinability and
data-gathering assessment, these invaluable piezoelec-
tric dynamometers oer the following advantages and
typical properties:

High rigidity (‘c
x
’ , ‘c
y
’: >1 kN µm
–1
, ‘c
z
’: >2 kN µm
–1
),
hence producing a high natural frequency (‘f
o
’: ≈3.5
kHz),

Wide measuring range (-5 to 10 kN),


Extreme linear sensitivity (‘F
X
’ , ‘F
Y
’: ≈-7.5 pC N
–1
,
‘F
Z
’: ≈–3.7 pC N
–1
) and virtually free from hyster-
esis (≤0.5%FSO),

Minimal cross-talk (≤±2%),

Environmentally-protected (IP67), typically sealed
against of both cutting uids and debris ingress.
NB Such high-quality apparatus is not cheap to
purchase, therefore it should be carefully main-
tained and looked aer, to ensure an extremely long
life and fail-safe operation.
Piezoelectric dynamometers can have their quartz
sensing elements arranged to t into platforms (Fig.
178b), for tment onto a turning machine tools turret
with the cutting tool suitably arranged for turning op-
erations. ese type of dynamometer platforms can be
located on the machine tool’s bed, with the workpiece
clamped onto the dynamometer for milling, drilling,
or grinding operations to be used for specic types of

machinability investigation. In the former case, it is
Machinability and Surface Integrity 
Figure 178. Multi-axis non-rotating dynamometers, used for: milling, drilling and turning
experimental data-gathering and analysis. [Courtesy of Kistler Instrumente AG]
.
 Chapter 
not possible to index the turning centre’s turret, due
to the nature of the electrical couplings to the plat-
form, but this problem can be overcome by mounting
a dierent dynamometer conguration, situating the
sensing equipment within the turret – as depicted in
Fig. 179a. Here, the installation of an acoustic emission
sensor (AE)
76
behind the turret in combination with
a multi-component force sensor mounted in the tur-
ret’s pocket – this force equipment having previously
required the necessary of preloading which was pro-
vided by a suitable ‘preload wedge’.
In Fig. 179b, are exhibited the measuring results
from the sensor installation decribed in Fig. 179a – for
a longitudinal (external) turning operation, with the
cutting force components and the AE signals being
simultaneously recorded. e resulting graphs pro-
duced in both Figs. 179bi and bii, show the AE rms
77

and force signals in the case of a tool breakage. e
tool breakage can be readily seen in both signal traces.
Figs. 179biii and biv, show the AE and force sensor sig-

76 Acoustic emission sensors (AE), in metal machining applica-
tions usually capture frequencies in the range of 50 kHz to
>1 MHz in range, this being a usual aid for any form of in-
process monitoring operations. By using a combination of AE
and force monitoring, this has been shown to be a means of
condition monitoring of the cutting tool’s state – more will
be said on this topic later. In metal cutting operations AE oc-
curs due to plasto-mechanical processes of crack formation
and chip removal, in combination with surface friction. Any
form of tool wear alters the contact surfaces between the tool
and workpiece, inuencing and increasing the AE signal in-
tensity. Hence, advanced warning of potential tool breakage
sometimes results in the appearance of micro-ssures in the
tool, which cause an escalation of the AE signals – allowing
a basic form of tool and process monitoring to be achieved.
AE generation in metallic machining operations, can extend
over frequencies of several MHz, although the signal intensity
is normally very low and diminishes with increasing distance
from its source. Any form of machine vibrations and inter-
ferences from the local environment introduce signals from
a low frequency range, meaning that any form of signicant
analysis is normally only possible above 50 kHz. Machine tool
interference sources are usually the result of either electrical,
or hydraulic main and feed drives, as well as from bearing
noise, spindles and gears. ese unwanted interferences can
be suppressed by utilising suitable high-pass lters, or alterna-
tively a well-designed AE sensor(s), with inherent high-pass
frequency characteristics.
77 ‘Root mean square’ (rms), is a measure of the eective mean
current of an alternating current. Its actual rms value is de-

rived from the power dissipation by an ac current.
nals respectively, on the ‘over-turning’ of transversal
holes present in the external turning of the workpiece.
Hence, the interrupted cut can clearly be seen peri-
odically in the resultant force traces. In Fig. 179biii,
the AE rms signal shows this interference, albeit not
very well pronounced, unlike that of the force trace
produced in Fig. 179biv, where a denite noise spike
can be seen. is combination of two complementary
sensing elements and their sensor signals, allows the
reliable detection of a process fault, such as tool break-
age detection.
Until approximately the mid-1990’s, commercial
versions of cutting force monitoring equipment for the
measurement of a rotating cutting tool, or an edge was
not readily available for: drilling, reaming, tapping
and milling applications. A major advantage of these
rotating cutting force dynamometers, is that they can
be used for multi-axes contour milling applications,
or simply for an investigation of a discrete tool’s cut-
ting edge geometry and its anticipated machining per-
formance. An early version of such a rotating cutting
force dynamometer, is depicted in Fig. 180a.
In Fig. 180b, graphs have been produced showing
the cutting force and torque results respectively, pro-
duced by the rotating cutting force dynamometer. In-
terest frequently centres on the forces and moments
acting on the rotating tool. A rotating cutting force
dynamometer (Fig. 180a), allows measurement of
three orthogonal forces: ‘F

X
’ , ‘F
Y
’ , ‘F
Z
’ , together with
the moment ‘M
Z
’. e data measured by the rotating
dynamometer occurs via miniature charge ampliers,
which are then transferred by telemetry to an appro-
priately positioned stationary antenna. e telemetry
involves a bi-directional transmission, with measured
data being transmitted to the ‘stationary side’ of the
monitoring system and any control commands for the
integral charge ampliers transmitted to the appropri-
ate section of the rotating dynamometer. e power
supply to the electronics in the rotor, occurs by the
same antenna, but having a dierent carrier frequency
to that of the data transfer. Typical resultant signals
produced by the rotating dynamometer are shown in
Fig. 180b and have been ‘zoomed’ for the investigation
of a single drill’s cutting edge.
Cutting force dynamometers of various congu-
rations, are invaluable tools for any form of in-depth
machinability study, as they indicate the precise condi-
tions at the cutting tool’s edge(s), in a truly dynamic
situation. All dynamometers that are purchased from
the manufacturer must come with an appropriate cali-
Machinability and Surface Integrity 

Figure 179. A Rotating Cutting-force Dynamometer (RCD), utilising piezoelectric sensor systems.
[Courtesy of Kistler Instrumente AG]
.
 Chapter 

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